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Finding the Fourth Proportional to 2,097.62, 3,140.49 and 1,743.38

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Solution

The fourth proportional to 2,097.62, 3,140.49 and 1,743.38 is: 2,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.62 : 3,140.49 = 1,743.38 : x
  2. Step 2: Convert to fraction form
    2,097.62/3,140.49 = 1,743.38/x
  3. Step 3: Cross multiply
    2,097.62x = 3,140.49 × 1,743.38
  4. Step 4: Simplify right side
    2,097.62x = 5,475,067.46
  5. Step 5: Solve for x
    x = 5,475,067.46/2,097.62
  6. Step 6: Final answer
    x = 2,610.13

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